https://file.aiquickdraw.com/mathbot/file/1724873741732sunrsrud.jpg

state the angle relationship name and find the value of 

d*d*

.

Type the value of 

d*d*

 into the response box.

The two angles shown are on a straight line and therefore are **supplementary angles**. This means that their sum is \(180^\circ\).

Given:
\[
113^\circ + (6d + 7)^\circ = 180^\circ
\]

To find \(d\), we solve the equation:

\[
113 + 6d + 7 = 180
\]

\[
6d + 120 = 180
\]

\[
6d = 60
\]

\[
d = 10
\]

Thus, the value of \(d\) is **10**.

Would you like more details or have any questions? Here are five related questions you might consider:

1. How can you verify that the angles are indeed supplementary?
2. What would be the value of the other angle when \(d = 10\)?
3. How would you solve for \(d\) if the given equation was slightly different, for instance, if it were \(113^\circ + (7d + 5)^\circ\)?
4. What are other common angle relationships that involve a straight line?
5. How does changing the degree of one angle affect the supplementary angle and the value of \(d\)?

**Tip:** Remember that supplementary angles always add up to \(180^\circ\), which is a key concept in geometry when solving for unknowns.

Learn how to solve for 'd' in supplementary angles with a detailed step-by-step solution. This problem involves applying the supplementary angles theorem to find the value of 'd'. Suitable for students in Grades 7-9.

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